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A281566 Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 24 2017 08:39:08

%S 0,6,815,3374,12133,31300,67834,136056,264286,498750,924374,1694678,

%T 3076872,5538752,9905630,17619912,31184144,54940940,96415390,

%U 168598070,293855280,510636866,884919690,1529682370,2638054884,4539684028

%N Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Row 4 of A281563.

%H R. H. Hardin, <a href="/A281566/b281566.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -15*a(n-2) +23*a(n-3) -27*a(n-4) +21*a(n-5) -4*a(n-6) -9*a(n-7) +15*a(n-8) -14*a(n-9) +3*a(n-10) +3*a(n-11) -3*a(n-12) +3*a(n-13) -a(n-15) for n>24

%e Some solutions for n=4

%e ..0..0..1..1. .0..1..1..0. .0..1..0..0. .0..1..1..0. .0..1..1..0

%e ..0..1..1..0. .1..1..0..0. .1..0..1..0. .0..0..1..0. .0..0..1..1

%e ..1..0..0..0. .0..0..1..1. .1..0..1..0. .1..1..0..0. .0..1..0..0

%e ..1..0..1..1. .1..0..1..0. .0..1..1..0. .0..1..0..1. .1..1..0..1

%Y Cf. A281563.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 24 2017

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)